Inversion of Rankin-Cohen operators via holographic transform

DOI10.5802/aif.3386zbMath1478.22009arXiv1812.09733OpenAlexW3155403730MaRDI QIDQ2027763

Michael Pevzner, Toshiyuki Kobayashi

Publication date: 28 May 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09733

zbMATH Keywords

orthogonal polynomialssymmetry breakingbranching rulesF-methodholographic transformRankin-Cohen operatorsJuhl operators

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

A geometrical point of view for branching problems for holomorphic discrete series of conformal Lie groups, Computation of weighted Bergman inner products on bounded symmetric domains and restriction to subgroups, Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups, Holographic transform for tensor product of holomorphic discrete series, Rankin-Cohen brackets on tube-type domains

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